Therefore we prove from inequality (2.19) that for any integers with (2.20).
Therefore we prove from the inequality (2.8) that for any integers with (2.9).
We define a bifunction (G_{k} Ctimes Cto R) by G_{k} x,y)=f_{k} x,y)+varphi_{k} y)- varphi_{k}(x)+langle A_{k}x,y-xrangle,quad forall x,yin C. Then we prove from Lemma 1.11 that the bifunction (G_{k}) satisfies conditions (C1 - C4) for each (k=1,2,ldots,m).
Herein, we prove from experimental infection of healthy abalone that an unclassified, novel virus can cause AbSS, named as AbSS-associated Virus (AbSV).
We proved that a change from acidic to neutral conditions lead to a dramatic effect on A6H self-assembly and the chelation of Zn2+ ions by this SLP.
Additionally, we proved that lipid production from starch can be enhanced by both metabolic engineering and culture condition optimization, setting up the basis for further studies.
We proved that these nanoparticles released from nano-enabled products — in this case toner — are highly bioactive when inhaled and might be deleterious to the lung and beyond.
By using arguments different from [7], we proved Theorems 2.1 and 2.3.
From angiography, we proved dual circulation by directly illustrating that blood flow to the lower body and the upper body was from the ECMO circuit and left ventricle, respectively.
In this study, we proved that a shorter interval from injury to surgery resulted in not only a higher fraction of CD34+, CD44+, CD45+, and CD146+ cells in the remnant tissue, but also increased expansion potential and osteogenic differentiation.
